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Simplifying 3(6x + -7) + 24 = -4(x + 5) + 18x + -5 Reorder the terms: 3(-7 + 6x) + 24 = -4(x + 5) + 18x + -5 (-7 * 3 + 6x * 3) + 24 = -4(x + 5) + 18x + -5 (-21 + 18x) + 24 = -4(x + 5) + 18x + -5 Reorder the terms: -21 + 24 + 18x = -4(x + 5) + 18x + -5 Combine like terms: -21 + 24 = 3 3 + 18x = -4(x + 5) + 18x + -5 Reorder the terms: 3 + 18x = -4(5 + x) + 18x + -5 3 + 18x = (5 * -4 + x * -4) + 18x + -5 3 + 18x = (-20 + -4x) + 18x + -5 Reorder the terms: 3 + 18x = -20 + -5 + -4x + 18x Combine like terms: -20 + -5 = -25 3 + 18x = -25 + -4x + 18x Combine like terms: -4x + 18x = 14x 3 + 18x = -25 + 14x Solving 3 + 18x = -25 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 3 + 18x + -14x = -25 + 14x + -14x Combine like terms: 18x + -14x = 4x 3 + 4x = -25 + 14x + -14x Combine like terms: 14x + -14x = 0 3 + 4x = -25 + 0 3 + 4x = -25 Add '-3' to each side of the equation. 3 + -3 + 4x = -25 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = -25 + -3 4x = -25 + -3 Combine like terms: -25 + -3 = -28 4x = -28 Divide each side by '4'. x = -7 Simplifying x = -7
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